Model of the AdS/QFT duality

TL;DR

This paper proposes that the AdS/QFT duality can be understood as a specific instance of Ehrenfest's correspondence principle, linking classical and quantum descriptions in relativistic field dynamics and renormalization group methods.

Contribution

It introduces a simplified model demonstrating that AdS/QFT duality aligns with Ehrenfest's principle, offering a new conceptual perspective.

Findings

AdS/QFT duality can be viewed as Ehrenfest's correspondence.

The model illustrates the classical-quantum connection in relativistic fields.

Renormalization group procedures relate to duality interpretation.

Abstract

It is observed and illustrated in a greatly simplified example that the idea of AdS/QFT duality can be considered a special case of the Ehrenfest's correspondence principle between classical and quantum mechanics in the context of relativistic dynamics of fields and renormalization group procedure for effective particles.